Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x - cos(x), O Yes, the Mean Value Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). O None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) Such that f(c) = b) – fa) (Enter your answers as a comma-separated b - a list. If the Mean Value Theorem cannot be applied, enter NA.) C =

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.